Set the two equations to equal each other and solve:
3x-2 = x+2
Subtract x from each side:
2x -2 = 2
Add 2 to each side:
2x = 4
Divide both sides by 2:
x = 4/2 = 2
Now replace x with 2 in one of the equations and solve for y:
y = 3x -2 = 3(2) - 2 = 6-2 = 4
X = 2, Y = 4
(2,4)